Turkish Journal of Mathematics
Abstract
In the present paper, we consider generalized Kropina change of $m$th root Finsler metrics and prove that every generalized Kropina change of $m$th root Finsler metrics with isotropic Berwald curvature, isotropic mean Berwald curvature, relatively isotropic Landsberg curvature, and relatively isotropic mean Landsberg curvature reduces to the Berwald metric, weakly Berwald metric, Landsberg metric, and weakly Landsberg metric, respectively. We also show that every generalized Kropina change of $m$th root Finsler metrics with almost vanishing $\textbf{H}$-curvature has vanishing $\textbf{H}$-curvature.
DOI
10.3906/mat-1512-14
Keywords
Finsler space, Kropina metrics, $m$th root metrics, Berwald curvature, Landsberg curvature, $\textbf{H}$-curvature
First Page
1608
Last Page
1617
Recommended Citation
TIWARI, BANKTESHWAR and PRAJAPATI, GHANASHYAM KR.
(2017)
"On generalized Kropina change of $m$th root Finsler metrics with special curvature properties,"
Turkish Journal of Mathematics: Vol. 41:
No.
6, Article 19.
https://doi.org/10.3906/mat-1512-14
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss6/19
